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Finding the Fourth Proportional to 28.54, 42.53 and 27.01

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Solution

The fourth proportional to 28.54, 42.53 and 27.01 is: 40.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.54 : 42.53 = 27.01 : x
  2. Step 2: Convert to fraction form
    28.54/42.53 = 27.01/x
  3. Step 3: Cross multiply
    28.54x = 42.53 × 27.01
  4. Step 4: Simplify right side
    28.54x = 1,148.74
  5. Step 5: Solve for x
    x = 1,148.74/28.54
  6. Step 6: Final answer
    x = 40.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.